References analysis of the Wikipedia article "원환면 오류 정정 부호" in the Korean version

arxiv.org

Kitaev, Alexei (2006). “Anyons in an exactly solved model and beyond”. 《Annals of Physics》 321 (1): 2–111. arXiv:cond-mat/0506438. Bibcode:2006AnPhy.321....2K. doi:10.1016/j.aop.2005.10.005. ISSN 0003-4916.

Dennis, Eric; Kitaev, Alexei; Landahl, Andrew; Preskill, John (2002). “Topological quantum memory”. 《Journal of Mathematical Physics》 43 (9): 4452–4505. arXiv:quant-ph/0110143. Bibcode:2002JMP....43.4452D. doi:10.1063/1.1499754. ISSN 0022-2488.

Röthlisberger, Beat; Wootton, James R.; Heath, Robert M.; Pachos, Jiannis K.; Loss, Daniel (2012년 2월 13일). “Incoherent dynamics in the toric code subject to disorder”. 《Physical Review A》 85 (2): 022313. arXiv:1112.1613. Bibcode:2012PhRvA..85b2313R. doi:10.1103/physreva.85.022313. ISSN 1050-2947.

Bombin, H.; Andrist, Ruben S.; Ohzeki, Masayuki; Katzgraber, Helmut G.; Martin-Delgado, M. A. (2012년 4월 30일). “Strong Resilience of Topological Codes to Depolarization”. 《Physical Review X》 2 (2): 021004. arXiv:1202.1852. Bibcode:2012PhRvX...2b1004B. doi:10.1103/physrevx.2.021004. ISSN 2160-3308.

Raussendorf, Robert; Harrington, Jim (2007년 5월 11일). “Fault-Tolerant Quantum Computation with High Threshold in Two Dimensions”. 《Physical Review Letters》 98 (19): 190504. arXiv:quant-ph/0610082. Bibcode:2007PhRvL..98s0504R. doi:10.1103/physrevlett.98.190504. ISSN 0031-9007. PMID 17677613.

Raussendorf, R; Harrington, J; Goyal, K (2007년 6월 29일). “Topological fault-tolerance in cluster state quantum computation”. 《New Journal of Physics》 9 (6): 199. arXiv:quant-ph/0703143. Bibcode:2007NJPh....9..199R. doi:10.1088/1367-2630/9/6/199. ISSN 1367-2630.

Bravyi, Sergey; Hastings, Matthew B.; Michalakis, Spyridon (2010). “Topological quantum order: Stability under local perturbations”. 《Journal of Mathematical Physics》 51 (9): 093512. arXiv:1001.0344. Bibcode:2010JMP....51i3512B. doi:10.1063/1.3490195. ISSN 0022-2488.

F. Pastawski; A. Kay; N. Schuch; J. I. Cirac (2010). “Limitations of passive protection of quantum information”. 《Quantum Information and Computation》 10 (7&8): 580. arXiv:0911.3843. doi:10.26421/qic10.7-8. ISSN 1533-7146.

Freeman, C. Daniel; Herdman, C. M.; Gorman, D. J.; Whaley, K. B. (2014년 10월 7일). “Relaxation dynamics of the toric code in contact with a thermal reservoir: Finite-size scaling in a low-temperature regime”. 《Physical Review B》 90 (13): 134302. arXiv:1405.2315. Bibcode:2014PhRvB..90m4302F. doi:10.1103/physrevb.90.134302. ISSN 1098-0121.

Hamma, Alioscia; Castelnovo, Claudio; Chamon, Claudio (2009년 6월 18일). “Toric-boson model: Toward a topological quantum memory at finite temperature”. 《Physical Review B》 79 (24): 245122. arXiv:0812.4622. Bibcode:2009PhRvB..79x5122H. doi:10.1103/physrevb.79.245122. ISSN 1098-0121.

Chesi, Stefano; Röthlisberger, Beat; Loss, Daniel (2010년 8월 6일). “Self-correcting quantum memory in a thermal environment”. 《Physical Review A》 82 (2): 022305. arXiv:0908.4264. Bibcode:2010PhRvA..82b2305C. doi:10.1103/physreva.82.022305. ISSN 1050-2947.

Pedrocchi, Fabio L.; Chesi, Stefano; Loss, Daniel (2011년 3월 10일). “Quantum memory coupled to cavity modes”. 《Physical Review B》 83 (11): 115415. arXiv:1011.3762. Bibcode:2011PhRvB..83k5415P. doi:10.1103/physrevb.83.115415. ISSN 1098-0121.

Alicki, R.; Horodecki, M.; Horodecki, P.; Horodecki, R. (2010). “On Thermal Stability of Topological Qubit in Kitaev's 4D Model”. 《Open Systems & Information Dynamics》 17 (1): 1–20. arXiv:0811.0033. doi:10.1142/s1230161210000023. ISSN 1230-1612.

Ghosh, Joydip; Fowler, Austin G.; Geller, Michael R. (2012년 12월 19일). “Surface code with decoherence: An analysis of three superconducting architectures”. 《Physical Review A》 86 (6): 062318. arXiv:1210.5799. Bibcode:2012PhRvA..86f2318G. doi:10.1103/physreva.86.062318. ISSN 1050-2947.

Bullock, Stephen S; Brennen, Gavin K (2007년 3월 14일). “Qudit surface codes and gauge theory with finite cyclic groups”. 《Journal of Physics A: Mathematical and Theoretical》 40 (13): 3481–3505. arXiv:quant-ph/0609070. Bibcode:2007JPhA...40.3481B. doi:10.1088/1751-8113/40/13/013. ISSN 1751-8113.

Levin, Michael A. and Xiao-Gang Wen (2005년 1월 12일). “String-net condensation: A physical mechanism for topological phases”. 《Physical Review B》 71 (45110): 21. arXiv:cond-mat/0404617. Bibcode:2005PhRvB..71d5110L. doi:10.1103/PhysRevB.71.045110.

Wootton, James R.; Lahtinen, Ville; Doucot, Benoit; Pachos, Jiannis K. (2011). “Engineering complex topological memories from simple Abelian models”. 《Annals of Physics》 326 (9): 2307–2314. arXiv:0908.0708. Bibcode:2011AnPhy.326.2307W. doi:10.1016/j.aop.2011.05.008. ISSN 0003-4916.

Aguado, M.; Brennen, G. K.; Verstraete, F.; Cirac, J. I. (2008년 12월 22일). “Creation, Manipulation, and Detection of Abelian and Non-Abelian Anyons in Optical Lattices”. 《Physical Review Letters》 101 (26): 260501. arXiv:0802.3163. Bibcode:2008PhRvL.101z0501A. doi:10.1103/physrevlett.101.260501. ISSN 0031-9007. PMID 19113760.

Brennen, G K; Aguado, M; Cirac, J I (2009년 5월 22일). “Simulations of quantum double models”. 《New Journal of Physics》 11 (5): 053009. arXiv:0901.1345. Bibcode:2009NJPh...11e3009B. doi:10.1088/1367-2630/11/5/053009. ISSN 1367-2630.

Liu, Yu-Jie; Shtengel, Kirill; Smith, Adam; Pollmann, Frank (2022년 11월 7일). “Methods for Simulating String-Net States and Anyons on a Digital Quantum Computer”. 《PRX Quantum》 3 (4): 040315. arXiv:2110.02020. Bibcode:2022PRXQ....3d0315L. doi:10.1103/PRXQuantum.3.040315.

Pachos, J K; Wieczorek, W; Schmid, C; Kiesel, N; Pohlner, R; Weinfurter, H (2009년 8월 12일). “Revealing anyonic features in a toric code quantum simulation”. 《New Journal of Physics》 11 (8): 083010. arXiv:0710.0895. Bibcode:2009NJPh...11h3010P. doi:10.1088/1367-2630/11/8/083010. ISSN 1367-2630.

Satzinger, K. J.; Liu, Y.; Smith, A.; Knapp, C.; Newman, M.; Jones, C.; Chen, Z.; Quintana, C.; Mi, X. (2021년 4월 2일). “Realizing topologically ordered states on a quantum processor”. 《Science》 374 (6572): 1237–1241. arXiv:2104.01180. Bibcode:2021Sci...374.1237S. doi:10.1126/science.abi8378. PMID 34855491.

Yao, Xing-Can; Wang, Tian-Xiong; Chen, Hao-Ze; Gao, Wei-Bo; Fowler, Austin G.; Raussendorf, Robert; Chen, Zeng-Bing; Liu, Nai-Le; Lu, Chao-Yang (2012년 2월 22일). “Experimental demonstration of topological error correction”. 《Nature》 482 (7386): 489–494. arXiv:0905.1542. Bibcode:2012Natur.482..489Y. doi:10.1038/nature10770. ISSN 0028-0836. PMID 22358838.

Douçot, Benoit; Ioffe, Lev B.; Vidal, Julien (2004년 6월 3일). “Discrete non-Abelian gauge theories in Josephson-junction arrays and quantum computation”. 《Physical Review B》 69 (21): 214501. arXiv:cond-mat/0302104. Bibcode:2004PhRvB..69u4501D. doi:10.1103/physrevb.69.214501. ISSN 1098-0121.

Gladchenko, Sergey; Olaya, David; Dupont-Ferrier, Eva; Douçot, Benoit; Ioffe, Lev B.; Gershenson, Michael E. (2009). “Superconducting nanocircuits for topologically protected qubits”. 《Nature Physics》 5 (1): 48–53. arXiv:0802.2295. Bibcode:2009NatPh...5...48G. doi:10.1038/nphys1151. ISSN 1745-2473.

Micheli, A.; Brennen, G. K.; Zoller, P. (2006년 4월 30일). “A toolbox for lattice-spin models with polar molecules”. 《Nature Physics》 2 (5): 341–347. arXiv:quant-ph/0512222. Bibcode:2006NatPh...2..341M. doi:10.1038/nphys287. ISSN 1745-2473.

Paredes, Belén; Bloch, Immanuel (2008년 1월 1일). “Minimum instances of topological matter in an optical plaquette”. 《Physical Review A》 77 (2): 023603. arXiv:0711.3796. Bibcode:2008PhRvA..77b3603P. doi:10.1103/physreva.77.023603. ISSN 1050-2947.

Dai, Hanning; Yang, Bing; Reingruber, Andreas; Sun, Hui; Xu, Xiao-Fan; Chen, Yu-Ao; Yuan, Zhen-Sheng; Pan, Jian-Wei (2017년 8월 28일). “Four-body ring-exchange interactions and anyonic statistics within a minimal toric-code Hamiltonian”. 《Nature Physics》 13 (2): 1195–1200. arXiv:1602.05709. Bibcode:2017NatPh..13.1195D. doi:10.1038/NPHYS4243. ISSN 1745-2473.

Weimer, Hendrik; Müller, Markus; Lesanovsky, Igor; Zoller, Peter; Büchler, Hans Peter (2010년 3월 14일). “A Rydberg quantum simulator”. 《Nature Physics》 6 (5): 382–388. arXiv:0907.1657. Bibcode:2010NatPh...6..382W. doi:10.1038/nphys1614. ISSN 1745-2473.

Semeghini, Giulia; Levine, Harry; Keesling, Alexander; Ebadi, Sepehr; Wang, Tout T.; Bluvstein, Dolev; Verresen, Ruben; Pichler, Hannes; Kalinowski, Marcin (2021). “Probing Topological Spin Liquids on a Programmable Quantum Simulator”. 《Science》 374 (6572): 1242–1247. arXiv:2104.04119. Bibcode:2021Sci...374.1242S. doi:10.1126/science.abi8794. PMID 34855494.

Bluvstein, Dolev; Levine, Harry; Semeghini, Giulia; Wang, Tout; Ebadi, Sepehr; Kalinowski, Marcin; Maskara, Nishad; Pichler, Hannes; Greiner, Marcus (2022년 4월 20일). “A quantum processor based on coherent transport of entangled atom arrays”. 《Nature》 604 (7906): 451–456. arXiv:2112.03923. Bibcode:2022Natur.604..451B. doi:10.1038/s41586-022-04592-6. PMC 9021024. PMID 35444318.

doi.org

dx.doi.org

Read, N.; Sachdev, Subir (1991년 3월 1일). “Large-Nexpansion for frustrated quantum antiferromagnets”. 《Physical Review Letters》 66 (13): 1773–1776. Bibcode:1991PhRvL..66.1773R. doi:10.1103/physrevlett.66.1773. ISSN 0031-9007. PMID 10043303.

Wen, X. G. (1991년 7월 1일). “Mean-field theory of spin-liquid states with finite energy gap and topological orders”. 《Physical Review B》 44 (6): 2664–2672. Bibcode:1991PhRvB..44.2664W. doi:10.1103/physrevb.44.2664. ISSN 0163-1829. PMID 9999836.

Fradkin, Eduardo; Shenker, Stephen H. (1979년 6월 15일). “Phase diagrams of lattice gauge theories with Higgs fields”. 《Physical Review D》 19 (12): 3682–3697. Bibcode:1979PhRvD..19.3682F. doi:10.1103/physrevd.19.3682. ISSN 0556-2821.

Edmonds, Jack (1965). “Paths, Trees, and Flowers”. 《Canadian Journal of Mathematics》 17: 449–467. doi:10.4153/cjm-1965-045-4. ISSN 0008-414X.

harvard.edu

adsabs.harvard.edu

nih.gov

ncbi.nlm.nih.gov

worldcat.org